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Finding the Fourth Proportional to 5,628.76, 7,756.86 and 3,969.88

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Solution

The fourth proportional to 5,628.76, 7,756.86 and 3,969.88 is: 5,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.76 : 7,756.86 = 3,969.88 : x
  2. Step 2: Convert to fraction form
    5,628.76/7,756.86 = 3,969.88/x
  3. Step 3: Cross multiply
    5,628.76x = 7,756.86 × 3,969.88
  4. Step 4: Simplify right side
    5,628.76x = 30,793,803.38
  5. Step 5: Solve for x
    x = 30,793,803.38/5,628.76
  6. Step 6: Final answer
    x = 5,470.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.